Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 41

Answer

$f(-3) = -1$ $f(0) = 1$ $f(2) = -1$ See picture for graph.

Work Step by Step

Plug in the given values into the given equation. Since -3<0, f(-3) = (-3 )+ 2 = -1 Since 0=0, f(0) = 1 - (0) = 1 Since 2>0, f(2) = 1 - (2) = -1 Using these points and knowledge of how to graph lines, graph the piecewise defined function. (See the graph above.)
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